100201323101 has 16 divisors (see below), whose sum is σ = 111579519168. Its totient is φ = 89214115200.

The previous prime is 100201323091. The next prime is 100201323113. The reversal of 100201323101 is 101323102001.

It is a cyclic number.

It is not a de Polignac number, because 100201323101 - 2¹⁰ = 100201322077 is a prime.

It is a super-3 number, since 3×100201323101³ (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100201323121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 164111 + ... + 476796.

It is an arithmetic number, because the mean of its divisors is an integer number (6973719948).

Almost surely, 2^100201323101 is an apocalyptic number.

100201323101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100201323101 is a deficient number, since it is larger than the sum of its proper divisors (11378196067).

100201323101 is a wasteful number, since it uses less digits than its factorization.

100201323101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641212.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 100201323101 its reverse (101323102001), we get a palindrome (201524425102).

The spelling of 100201323101 in words is "one hundred billion, two hundred one million, three hundred twenty-three thousand, one hundred one".